GEOMETRY & TOPOLOGY AT PRINCETON: Hermitian flows on complex manifolds and weak Capana-Peternell conjecture
GEOMETRY & TOPOLOGY AT PRINCETON: Hermitian flows on complex manifolds and weak Capana-Peternell conjecture
-
Yury Ustinovsky, Princeton University
Fine Hall 314
Campana-Peternell conjecture states that a Fano manifold with nef tangent bundle is rational homogeneous. We formulate weak differential-geometrical version of Campana-Peternell conjecture and discuss a possible approach \ to it based on the study of metric flows on Hermitian manifolds.